Published by:
CGP EDU Academic Team
Published on: August 13, 2026
A line passing through the point (2, 2) encloses an area of 4 sq. units with coordinate axes. The sum of intercepts made by the line on the x and y axis is equal to
Text Solution
Verified by ExpertsThe correct answer is:
C
-4
Let equation of line is
=
2 (b + a) = ab ... (1)
Case-1: If both intercepts are positive
Then, 
ab = 4 
ab = 8 
b + a = 4
a (4 - a)8 
a 2 - 4a + 8 = 0 
a (4 - a) = 8
No value of a is possible (Discriminant is negative)
Case-2: If intercepts are of opposite sign, then 
ab = 4 
ab = -8
a is possible hence b is possible
the sum of intercepts is equal to -4
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